GCD of 51, 987, 984, 265 Calculator

Given Input numbers are 51, 987, 984, 265

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 51, 987, 984, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 987, 984, 265 is 1.

Therefore, GCD of numbers 51, 987, 984, 265 is 1

Given Input Data is 51, 987, 984, 265

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 51 is 3 x 17

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 265 is 5 x 53

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(51, 987) = 16779

GCD(51, 987) = ( 51 x 987 ) / 16779

GCD(51, 987) = 50337 / 16779

GCD(51, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 265

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 265) = 795

GCD(3, 265) = ( 3 x 265 ) / 795

GCD(3, 265) = 795 / 795

GCD(3, 265) = 1

GCD of 51, 987, 984, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 313, 862, 400
• GCD of 70, 431, 322, 514
• GCD of 79, 755, 405, 941
• GCD of 18, 575, 799, 681
• GCD of 15, 475, 416, 309

1. What is the GCD of 51, 987, 984, 265?

GCD of 51, 987, 984, 265 is 1

2. Where do I get the detailed procedure to find GCD of 51, 987, 984, 265?

You can find a detailed procedure to find GCD of 51, 987, 984, 265 on our page.

3. How to find GCD of 51, 987, 984, 265 on a calculator?

You can find the GCD of 51, 987, 984, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.